# Numbers in a Jar

Pro Problems > Math > Algebra > Equations > Word Problems## Numbers in a Jar

A jar contains every integer from 0 to 20 inclusive, written on slips of paper. Three numbers are pulled from the jar randomly. The largest of the three is the sum of the other two. One of the numbers is one less than twice another. The sum of the numbers is 34. Then, all the numbers were put back in the jar, and three slips were drawn again. Surprisingly, the same statements made above were still true, even though the same three slips were not drawn. Which number was drawn both times?

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